3992472 has 72 divisors (see below), whose sum is σ = 11964420. Its totient is φ = 1192800.

The previous prime is 3992453. The next prime is 3992477. The reversal of 3992472 is 2742993.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56197 + ... + 56267.

Almost surely, 2^3992472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3992472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5982210).

3992472 is an abundant number, since it is smaller than the sum of its proper divisors (7971948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3992472 is a wasteful number, since it uses less digits than its factorization.

3992472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 87 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 3992472 is about 1998.1171136848. The cubic root of 3992472 is about 158.6404597004.

The spelling of 3992472 in words is "three million, nine hundred ninety-two thousand, four hundred seventy-two".